The aim of the research is to develop an algorithm of including mathematics history in teaching students who study mathematical disciplines. To achieve this goal, it is necessary to solve the following tasks: the analysis of the most successful practices of using historical digressions in teaching students; the development on their basis of the algorithm synthesis for including elements of mathematics history in teaching mathematical disciplines, in particular, mathematical analysis; approbation of the developed algorithm in educational process of technical and pedagogical universities. The article considers one of the approaches to historical and mathematical information inclusion in teaching of such an important section of mathematical analysis as integral calculus. Didactic and educational aspects of using information on history of integral calculus formation in teaching bachelors under conditions of social isolation caused by COVID-19 are shown.